LEADER 03373nam 2200589 450 001 9910830832603321 005 20230421050644.0 010 $a1-283-28126-0 010 $a9786613281265 010 $a1-118-15044-9 010 $a1-118-15043-0 035 $a(CKB)2550000000060219 035 $a(EBL)818796 035 $a(OCoLC)757394182 035 $a(SSID)ssj0000550642 035 $a(PQKBManifestationID)11355800 035 $a(PQKBTitleCode)TC0000550642 035 $a(PQKBWorkID)10509242 035 $a(PQKB)10796749 035 $a(MiAaPQ)EBC818796 035 $a(EXLCZ)992550000000060219 100 $a20160816h19961996 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProbability $ea survey of the mathematical theory /$fJohn W. Lamperti 205 $a2nd ed. 210 1$aNew York :$cJohn Wiley & Sons, Inc.,$d1996. 210 4$dİ1996 215 $a1 online resource (212 p.) 225 1 $aWiley Series in Probability and Statistics 300 $a"A Wiley-Interscience Publication." 311 $a0-471-15407-5 320 $aIncludes bibliographical references and index. 327 $aProbability: A Survey of the Mathematical Theory; Contents; Preface; 1. Foundations; 1. Probability Spaces; 2. Random Variables and Their Expectations; 3. Independence; 4. Conditional Expectations and Probabilities; 5. When Do Random Variables Exist?; 2. Laws of Large Numbers and Random Series; 6. The Weak Law of Large Numbers; 7. The Weierstrass Approximation Theorem; 8. The Strong Law of Large Numbers; 9. The Strong Law-Continued; 10. Convergence of Random Series; 11. More on Independence; the 0-1 Law; 12. The Law of the Iterated Logarithm 327 $a3. Limiting Distributions and the Central Limit Problem13. Weak Convergence of Measures; 14. The Maximum of a Random Sample; 15. Characteristic Functions; 16. The Central Limit Theorem; 17. Stable Distributions; 18. Limit Distributions for Sums and Maxima; 19. Infinitely Divisible Distributions; 20. Recurrence; 4. The Brownian Motion Process; 21. Brownian Motion; 22. The First Construction; 23. Some Properties of Brownian Paths; 24. Markov Processes; 25. Brownian Motion and Limit Theorems; 26. Brownian Motion and Classical Analysis; Appendix: Essentials of Measure Theory; Bibliography; Index 327 $aList of Series Titles 330 $aThe brand new edition of this classic text--with more exercises and easier to use than ever Like the first edition, this new version of Lamperti's classic text succeeds in making this fascinating area of mathematics accessible to readers who have limited knowledge of measure theory and only some familiarity with elementary probability. Streamlined for even greater clarity and with more exercises to help develop and reinforce skills, Probability is ideal for graduate and advanced undergraduate students--both in and out of the classroom. Probability covers:* Probability spaces, random variab 410 0$aWiley series in probability and statistics. 606 $aProbabilities 615 0$aProbabilities. 676 $a519.2 700 $aLamperti$b J$g(John),$011962 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830832603321 996 $aProbability$9382011 997 $aUNINA